You are skiing down a mountain with a vertical height of 800 feet. The distance from the top of the mountain to the base is 1600 feet. What is the angle of elevation from the base to the top of the mountain?

θ  =

Step-by-step explanation:

Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;

Sin θ =

Sin θ =

        = 0.5

θ = 0.5

θ  =

Thus, the angle of elevation from the base to the top of the mountain is .

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6